A framework to understand the transient climate response to emissions

Global surface warming projections have been empirically connected to carbon emissions via a climate index defined as the transient climate response to emissions (TCRE), revealing that surface warming is nearly proportional to carbon emissions. Here, we provide a theoretical framework to understand...

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Published in:Environmental Research Letters
Main Authors: Richard G Williams, Philip Goodwin, Vassil M Roussenov, Laurent Bopp
Format: Article
Language:English
Published: IOP Publishing 2016-01-01
Subjects:
Online Access:https://doi.org/10.1088/1748-9326/11/1/015003
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author Richard G Williams
Philip Goodwin
Vassil M Roussenov
Laurent Bopp
author_facet Richard G Williams
Philip Goodwin
Vassil M Roussenov
Laurent Bopp
author_sort Richard G Williams
collection DOAJ
container_title Environmental Research Letters
description Global surface warming projections have been empirically connected to carbon emissions via a climate index defined as the transient climate response to emissions (TCRE), revealing that surface warming is nearly proportional to carbon emissions. Here, we provide a theoretical framework to understand the TCRE including the effects of all radiative forcing in terms of the product of three terms: the dependence of surface warming on radiative forcing, the fractional radiative forcing contribution from atmospheric CO _2 and the dependence of radiative forcing from atmospheric CO _2 on cumulative carbon emissions. This framework is used to interpret the climate response over the next century for two Earth System Models of differing complexity, both containing a representation of the carbon cycle: an Earth System Model of Intermediate Complexity, configured as an idealised coupled atmosphere and ocean, and an Earth System Model, based on an atmosphere–ocean general circulation model and including non-CO _2 radiative forcing and a land carbon cycle. Both Earth System Models simulate only a slight decrease in the TCRE over 2005–2100. This limited change in the TCRE is due to the ocean and terrestrial system acting to sequester both heat and carbon: carbon uptake acts to decrease the dependence of radiative forcing from CO _2 on carbon emissions, which is partly compensated by changes in ocean heat uptake acting to increase the dependence of surface warming on radiative forcing. On decadal timescales, there are larger changes in the TCRE due to changes in ocean heat uptake and changes in non-CO _2 radiative forcing, as represented by decadal changes in the dependences of surface warming on radiative forcing and the fractional radiative forcing contribution from atmospheric CO _2 . Our framework may be used to interpret the response of different climate models and used to provide traceability between climate models of differing complexity.
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spelling doaj-art-9128fa50805a445b9dca5e5b38cbcc2f2025-08-28T15:28:39ZengIOP PublishingEnvironmental Research Letters1748-93262016-01-0111101500310.1088/1748-9326/11/1/015003A framework to understand the transient climate response to emissionsRichard G Williams0https://orcid.org/0000-0002-3180-7558Philip Goodwin1Vassil M Roussenov2Laurent Bopp3Department of Earth, Ocean & Ecological Sciences, School of Environmental Sciences, Liverpool University , Liverpool, UKSchool of Ocean and Earth Sciences, Southampton University , Southampton, UKDepartment of Earth, Ocean & Ecological Sciences, School of Environmental Sciences, Liverpool University , Liverpool, UKLaboratoire des Sciences du Climat et de l’Environment, Institut Pierre-Simon Laplace, CNRS/CEA/UVSQ, CEA Saclay, Gif-sur-Yvette, FranceGlobal surface warming projections have been empirically connected to carbon emissions via a climate index defined as the transient climate response to emissions (TCRE), revealing that surface warming is nearly proportional to carbon emissions. Here, we provide a theoretical framework to understand the TCRE including the effects of all radiative forcing in terms of the product of three terms: the dependence of surface warming on radiative forcing, the fractional radiative forcing contribution from atmospheric CO _2 and the dependence of radiative forcing from atmospheric CO _2 on cumulative carbon emissions. This framework is used to interpret the climate response over the next century for two Earth System Models of differing complexity, both containing a representation of the carbon cycle: an Earth System Model of Intermediate Complexity, configured as an idealised coupled atmosphere and ocean, and an Earth System Model, based on an atmosphere–ocean general circulation model and including non-CO _2 radiative forcing and a land carbon cycle. Both Earth System Models simulate only a slight decrease in the TCRE over 2005–2100. This limited change in the TCRE is due to the ocean and terrestrial system acting to sequester both heat and carbon: carbon uptake acts to decrease the dependence of radiative forcing from CO _2 on carbon emissions, which is partly compensated by changes in ocean heat uptake acting to increase the dependence of surface warming on radiative forcing. On decadal timescales, there are larger changes in the TCRE due to changes in ocean heat uptake and changes in non-CO _2 radiative forcing, as represented by decadal changes in the dependences of surface warming on radiative forcing and the fractional radiative forcing contribution from atmospheric CO _2 . Our framework may be used to interpret the response of different climate models and used to provide traceability between climate models of differing complexity.https://doi.org/10.1088/1748-9326/11/1/015003transient climate response to emissionsclimate changecumulative carbon emissionsradiative forcing from CO2ocean heat and carbon drawdownopen climate campaign
spellingShingle Richard G Williams
Philip Goodwin
Vassil M Roussenov
Laurent Bopp
A framework to understand the transient climate response to emissions
transient climate response to emissions
climate change
cumulative carbon emissions
radiative forcing from CO2
ocean heat and carbon drawdown
open climate campaign
title A framework to understand the transient climate response to emissions
title_full A framework to understand the transient climate response to emissions
title_fullStr A framework to understand the transient climate response to emissions
title_full_unstemmed A framework to understand the transient climate response to emissions
title_short A framework to understand the transient climate response to emissions
title_sort framework to understand the transient climate response to emissions
topic transient climate response to emissions
climate change
cumulative carbon emissions
radiative forcing from CO2
ocean heat and carbon drawdown
open climate campaign
url https://doi.org/10.1088/1748-9326/11/1/015003
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